my current research is on:
Aug 3 (sunday), 3:30am park/road opens and weather permitting, one might see the sunrise

(one of the few days per year the road opens early)
pecuring lodging in the nearby town Gorham for a few hours sleep the day before (saturday) at Top Notch Inn.
other considerations while in the area:
cog railroad
kancamagus hwy (rt 112)